Storm graduated from National Academy of Mime and Acting, Stockholm, in 1981. He was hired by Åbo Svenska Teater, a Swedish speaking theater in Finland. From 1982 to 1989, he was connected to Länsteatern in Örebro, Sweden. He has also performed on stage at the Helsingborgs city theater, Riksteatern, and the Tröndelag theater in Trondheim, Norway, and at other among others.

Storm's TV and movie credits include Vinnare och förlorare, Taurus, Kronprinsessan and others. Active in dubbing since the 1980s, his dubbing credits include Dumbo (the third Swedish dub of the movie, as various clowns), Astérix et la surprise de César, Flubber (dubbing Raymond J. Barry), and Over the Hedge.